106563 has 4 divisors (see below), whose sum is σ = 142088. Its totient is φ = 71040.

The previous prime is 106543. The next prime is 106591. The reversal of 106563 is 365601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 365601 = 3 ⋅121867.

It is not a de Polignac number, because 106563 - 2⁵ = 106531 is a prime.

It is a super-2 number, since 2×106563² = 22711345938, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

106563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (106543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17758 + ... + 17763.

It is an arithmetic number, because the mean of its divisors is an integer number (35522).

2¹⁰⁶⁵⁶³ is an apocalyptic number.

106563 is a deficient number, since it is larger than the sum of its proper divisors (35525).

106563 is an equidigital number, since it uses as much as digits as its factorization.

106563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35524.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106563 is about 326.4398872687. The cubic root of 106563 is about 47.4098752769.

It can be divided in two parts, 1065 and 63, that added together give a triangular number (1128 = T₄₇).

The spelling of 106563 in words is "one hundred six thousand, five hundred sixty-three".